The image above represents shear modulus of rubber.

To compute for shear modulus of rubber, three essential parameters are needed and these parameters are **Density of Network Cross Links (N), Boltzmann’s Constant (K _{B}) **and

**Temperature (T).**

The formula for calculating shear modulus of rubber:

G = NK_{B}T

Where:

G = Shear Modulus of Rubber

N = Density of Network Cross Links

K_{B} = Boltzmann’s Constant

T = Temperature

Let’s solve an example;

Find the shear modulus of rubber when the density of network cross links is 21, the boltzmann’s constant is 1.38064852E-23 and the temperature is 10.

This implies that;

N = Density of Network Cross Links = 21

K_{B} = Boltzmann’s Constant = 1.38064852E-23

T = Temperature = 10

G = NK_{B}T

G = (21)(1.38064852e-23)(10)

G = 2.89

Therefore, the **shear modulus of rubber **is **2.89e-23 Pa.**

**Calculating the Density of Network Cross Links when the Shear Modulus of Rubber, Boltzmann’s Constant and the Temperature is Given.**

N = ^{G} / _{KBT}

Where;

N = Density of Network Cross Links

G = Shear Modulus of Rubber

K_{B} = Boltzmann’s Constant

T = Temperature

Let’s solve an example;

Find the density of network cross links when the shear modulus of rubber is 14, the boltzmann’s constant is 1.380e-23 and temperature is 4.

This implies that;

G = Shear Modulus of Rubber = 14

K_{B} = Boltzmann’s Constant = 1.380e-23

T = Temperature = 4

N = ^{G} / _{KBT}

N = ^{14} / _{1.380e-23 x 4}

N = ^{14} / _{5.52e-23}

N = 2.54e-23

Therefore, the **network cross links **is **2.54e-23.**

**Calculating the Temperature when the Shear Modulus of Rubber, the Density of Network Cross Links and the Boltzmann’s Constant is Given.**

T = ^{G} / _{KBN}

Where;

T = Temperature

G = Shear Modulus of Rubber

N = Density of Network Cross Links

K_{B} = Boltzmann’s Constant

Let’s solve an example;

Find the temperature when the shear modulus of rubber is 20, the density of network cross links is 18 and the boltzmann’s constant is 1.380e-23.

This implies that;

G = Shear Modulus of Rubber = 20

N = Density of Network Cross Links = 18

K_{B} = Boltzmann’s Constant = 1.380e-23

T = ^{G} / _{KBN}

T = ^{20} / _{1.380e-23 x 18}

T = ^{20} / _{2.48e-22}

T = 8.06e-22

Therefore, the **temperature **is **8.06e-22.**

Nickzom Calculator – **The Calculator Encyclopedia** is capable of calculating the shear modulus of rubber.

To get the answer and workings of the shear modulus of rubber using the **Nickzom Calculator – The Calculator Encyclopedia. **First, you need to obtain the app.

You can get this app via any of these means:

**Web** – https://www.nickzom.org/calculator-plus

To get access to the **professional **version via web, you need to **register** and **subscribe **for** NGN 2,000 **per** annum** to have utter access to all functionalities.

You can also try the **demo **version via https://www.nickzom.org/calculator

**Android (Paid)** – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator

**Android (Free)** – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator

**Apple (Paid)** – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8

Once, you have obtained the calculator encyclopedia app, proceed to the **Calculator Map, **then click on **Materials and Metallurgical **under **Engineering****.**

Now, Click on **Fracture Mechanics **under **Materials and Metallurgical**

Now, Click on **Shear Modulus of Rubber **under **Fracture Mechanics**

The screenshot below displays the page or activity to enter your values, to get the answer for the shear modulus of rubber according to the respective parameters which is the **Density of Network Cross Links (N), Boltzmann’s Constant (K _{B}) **and

**Temperature (T).**

Now, enter the value appropriately and accordingly for the parameter as required by the **Density of Network Cross Links (N)** is **21**,** Boltzmann’s Constant (K _{B})** is

**1.380e-23**and

**Temperature (T)**is

**10**.

Finally, Click on Calculate

As you can see from the screenshot above, **Nickzom Calculator**– The Calculator Encyclopedia solves for the shear modulus of rubber and presents the formula, workings and steps too.